It's racist to paint an entire group with the same brush. White privilege may manifest itself in many situations, but even the intellectual proponents of intersectionality saw other privileges, such as wealth, family stability, attractiveness, intelligence, attitude.... And some may overtake others, according to their theory.
You cannot reduce individuals to the group which supposedly defines their immutable characteristics without dehumanizing them. We should treat people as individuals. And I believe people are generally the writers of their own destiny. I wouldn't insult them by supposing not.
You may believe that nature and nurture completely define us, but would you like to be treated that way? Would you like to be pigeonholed, have your own agency demeaned, and your individuality denied?
What is the left really doing? Aren't they just dividing us? Their goals seem to be aligned with the extreme racists on the right. Is it to divide and conquer?